document.write( "Question 1523: A couch is $\"8%261%2F2\"$ feet long. The material needed to make a slipcover is to be $\"2%261%2F3\"$ times as long to allow for hems and tucking under. How long a piece of material is needed? \n" ); document.write( "

Algebra.Com's Answer #519 by AnlytcPhil(1806) $\"\"$ $\"About$

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A couch is $\"8\"$ $\"1%2F2\"$ feet long. The material needed to make a slipcover
\n" ); document.write( "is to be $\"2\"$ $\"1%2F3\"$ times as long to allow for hems and tucking under.
\n" ); document.write( "How long a piece of material is needed?
\n" ); document.write( "`
\n" ); document.write( "The object is to multiply $\"2\"$ $\"1%2F3\"$ times $\"8\"$ $\"1%2F2\"$ .
\n" ); document.write( "`
\n" ); document.write( "Change the mixed number $\"2\"$ $\"1%2F3\"$ to an improper fraction by the rule:
\n" ); document.write( "`
\n" ); document.write( "1. Multiply denominator of fraction part times the whole part.
\n" ); document.write( "2. Add this result to the numerator of the fraction part.
\n" ); document.write( "3. Place this result as a numerator over the same denominator as the
\n" ); document.write( "fraction part has.
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\n" ); document.write( "To change $\"2\"$ $\"1%2F3\"$ to an improper fraction by the rule above:
\n" ); document.write( "1. Multiply 3 times 2, getting 6
\n" ); document.write( "2. Add 6 to 1, getting 7
\n" ); document.write( "3. Write $\"7%2F3\"$
\n" ); document.write( "`
\n" ); document.write( "To change $\"8\"$ $\"1%2F2\"$ to an improper fraction by the rule above:
\n" ); document.write( "1. Multiply 2 times 8, getting 16
\n" ); document.write( "2. Add 16 to 1, getting 17
\n" ); document.write( "3. Write $\"17%2F2\"$
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\n" ); document.write( "So now the problem
\n" ); document.write( "`
\n" ); document.write( " $\"2\"$ $\"1%2F3\"$ × $\"8\"$ $\"1%2F2\"$ becomes
\n" ); document.write( "`
\n" ); document.write( " $\"7%2F3\"$ × $\"17%2F2\"$
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\n" ); document.write( "Multiply numerators and denominators to get the numerator and denominator
\n" ); document.write( "of the product:
\n" ); document.write( "`
\n" ); document.write( " $\"119%2F6\"$
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\n" ); document.write( "Now to change this to a mixed number, divide the denominator into the
\n" ); document.write( "numerator:
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\n" ); document.write( "` `19
\n" ); document.write( "6)119
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\n" ); document.write( "` `59
\n" ); document.write( "` `54
\n" ); document.write( "` ` 5
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\n" ); document.write( "Write the quotient 19 as the whole part and put the remainder as the
\n" ); document.write( "numerator of the fraction part and the divisor 6 as the denominator of
\n" ); document.write( "the fraction part, so the answer is
\n" ); document.write( "`
\n" ); document.write( " $\"19\"$ $\"5%2F6\"$ feet
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\n" ); document.write( "Edwin
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